20x-18x=6+8
2x=14
X=7
Answer
Answer:
Step-by-step explanation:
We are given that endpoints of a diameter at the points (7,2) and (-9,5).
Center of the circle is the mid point of diameter
So, first find the mid point of diameter
Formula :
Substitute the values in formula
So, center of circle = (h,k )=(-1,3.5)
To find length of diameter :
Length of radius = r =
Standard form of the equation of the circle :
(h,k )=(-1,3.5)
Equation of the circle :
Equation of the circle :
Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is
Answer:
2. ad is the angle bisector of angle a
3. ad is perpendicular to bc
4. both are right angles as given
5. common
6. ASA congruence
2/5 of the flowers are tulips, 5/8 of the tulips are yellow. Yellow tulpis are 5/8 of 2/5 of the flowers.
I'm going to assume the 2 shapes are both squares. ABCD has side of 4, BPQR has side of 5.
BP=5 AB=4 We can use Pythagorean theorem to see easily that AR= sqrt(5^2-4^2)=3.
Next step, we can see that angle A and angle D are both equal to 90 degrees. And angle DRS = <A+<ABR-<BRQ (exterior angles theorem) and <BRQ - <A= 90 degrees. Therefore...
triangle DRS is similar to triangle ABR so RD/SD=AB/AR=4/3
and RD=5-3=2 So SD is 3/2 because 2/ 3/2= 2*2/3 = 4/3 like above.
Now we can find shaded area by subtraction from square ABCD.
16-3*4/2-2*(3/2) /2=16-6-3/2=10-3/2=17/2.
I hope this answer helped if you have any question just ask in the comment!